the formula used to convert degrees Celsius to degrees Fahrenheit is F = 9/5C + 32. Convert 77 to degrees celsius. Solve the formula for C, and then use it to convert the temperature

Respuesta :

You have to convert 77 degrees Fahrenheit to degrees Celsius.

The equation to convert degrees Celsius to degrees Fahrenheit is given:

[tex]F=\frac{9}{5}C+32[/tex]

First, you have to write the equation for C:

- Pass 32 to the left side by applying the opposite operation to both sides of the equal sign:

[tex]\begin{gathered} F=\frac{9}{5}C+32 \\ F-32=\frac{9}{5}C+32-32 \\ F-32=\frac{9}{5}C \end{gathered}[/tex]

- Multiply both sides of the equation by the reciprocal of 9/5

[tex]\begin{gathered} (F-32)\frac{5}{9}=\frac{5}{9}*\frac{9}{5}C \\ \frac{5}{9}(F-32)=C \end{gathered}[/tex]

Now that you have determined an expression to convert degrees Fahrenheit to Celsius degrees, you can convert 77ºF to Celsius, replace the equation with F=77 and solve for C:

[tex]\begin{gathered} C=\frac{5}{9}(F-32) \\ C=\frac{5}{9}(77-32) \\ C=\frac{5}{9}*45 \\ C=25 \end{gathered}[/tex]

77 degrees Fahrenheit is equal to 25 degrees Celsius.

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